Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552c |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
25041744 = 24 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57966,-5371655] |
[a1,a2,a3,a4,a6] |
j |
49860882714802176/57967 |
j-invariant |
L |
1.8461095629323 |
L(r)(E,1)/r! |
Ω |
0.30768492715539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104d1 52416be1 6552p1 45864d1 |
Quadratic twists by: -4 8 -3 -7 |